Practice Initialization - 5.4.1 | 5. Kruskal's Algorithm | Design & Analysis of Algorithms - Vol 2
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Initialization

5.4.1 - Initialization

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does Kruskal's algorithm primarily aim to find in a graph?

💡 Hint: Think about the tree with the least weight.

Question 2 Easy

What is the base step of Kruskal's algorithm?

💡 Hint: What do we prioritize in edge selection?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Kruskal's algorithm adds edges in which order?

Random order
Ascending order of weights
Descending order of weights

💡 Hint: Think about how you would minimize a cost.

Question 2

True or False: Kruskal's algorithm can form cycles by adding edges.

True
False

💡 Hint: What should happen if edges connect the same component?

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the following edges and their weights: (A-B, 3), (B-C, 5), (C-D, 2), (A-D, 4), and (B-D, 8), use Kruskal's algorithm to find the minimum spanning tree. Explain your steps.

💡 Hint: What should you do first with the weights?

Challenge 2 Hard

Illustrate how the union-find operations can affect the efficiency of Kruskal's algorithm in a large graph with many disjoint components.

💡 Hint: Consider how this structure changes the tracking of added edges.

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